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Simplifying -1(z + 9) + (3z + 1) = -7(2 + 1) Reorder the terms: -1(9 + z) + (3z + 1) = -7(2 + 1) (9 * -1 + z * -1) + (3z + 1) = -7(2 + 1) (-9 + -1z) + (3z + 1) = -7(2 + 1) Reorder the terms: -9 + -1z + (1 + 3z) = -7(2 + 1) Remove parenthesis around (1 + 3z) -9 + -1z + 1 + 3z = -7(2 + 1) Reorder the terms: -9 + 1 + -1z + 3z = -7(2 + 1) Combine like terms: -9 + 1 = -8 -8 + -1z + 3z = -7(2 + 1) Combine like terms: -1z + 3z = 2z -8 + 2z = -7(2 + 1) Combine like terms: 2 + 1 = 3 -8 + 2z = -7(3) Multiply -7 * 3 -8 + 2z = -21 Solving -8 + 2z = -21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2z = -21 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = -21 + 8 2z = -21 + 8 Combine like terms: -21 + 8 = -13 2z = -13 Divide each side by '2'. z = -6.5 Simplifying z = -6.5
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